学术报告

L2 Interpretation of Intersection Cohomology

发布时间:2020-01-03  阅读次数:846

题目:L2 Interpretation of Intersection Cohomology
报告人:申屠均超 副研究员 (中国科学技术大学) 
地点:致远楼101室
时间:2020年1月3日 下午3:00-4:00
Abstract:Intersection cohomology is introduced by Goresky and MacPherson as a cohomogy theory on singular spaces which admit the Poincare duality. Decades of works show that this cohomology theory share a bunch of good properties such as Lefschetz package, Hodge-Riemann bilinear relation and Hodge theoretic purity. Although the theory is well established in the context of topology and algebra, the de Rham theorem remains open. In this talk I will introduce the basic knowledge of intersection cohomology and present a solution of the de Rham theorem for intersection cohomology when the space is algebraic and admits only equisingularities. This is the joint work with Chen Zhao.

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